A method is given for the analysis of time dependent two-dimensional incompressible laminar boundary layers. The technique is a combination of the method of weighted residuals and the method of lines, and reduces the boundary-layer equations to an Nth order approximation in terms of a system of ordinary differential equations. The method is demonstrated by solving the transient flow over a semi-infinite flat plate and the results are compared with known asymptotic solutions. For a third approximation, the steady-state skin friction coefficient given by the present method agrees with the Blasius solution within 0.1 percent.

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when applied to a wide variety of partial differential equations in two independent variables, see references [1, 13, 14].In summary two methods (MWR and MOL), each of which has been developed to reduce a partial differential equation in two independent variables to a set of ordinary differential equations, have been combined to reduce a partial differential equation in three independent variables to a set of ordinary differential equations. Application of the method need not be restricted to boundary-layer problems but is proposed as a useful technique for other partial differential equations.

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